Speaker
Description
We constructed the matrix model under real rotation $\omega$ in a cylinder of radius $R$, with $R \omega<1$ to preserve causality, by using the background field effective theory. Based on this new matrix model, we investigated the confinement/deconfinement phase transition in $SU(3)$ and $SU(2)$ gauge theories. Our results indicate that a phase transition can occur as long as the non-perturbative contribution of the matrix model is taken into account. The rotating gluon plasma transforms into an inhomogeneous medium, and the phase transition temperature $T_c$ decreases as the distance from the rotation axis increases; $T_c$ remains almost unaffected by $\omega$ around the rotation axis particular for $SU(3)$. On the other hand, $T_c$ first increases and then decreases with increasing $\omega$ when considering the schematic rotation-dependent coupling constant, which is due to the competition between the coupling constant and the semi-classical gluon vacuum and Gaussian fluctuations induced by rotation. In addition, our results show that phase transition always remains first-order for $SU(N)$ theory with $N\geq 3$, and second-order for $SU(2)$ theory.
